QUESTION: 209

X and Y are integers, X is even and negative, Y is odd and positive. Which of the following could be false?
1. (X + Y) is an odd number.
2. Y(X + Y) is an integer.
3. XY is a positive number.

2 only.
3 only.
1 and 3 only.
2 and 3 only.
1, 2 and 3.

Answer(s): D

Explanation:

Find opposing examples for each of the statements.
1: An odd number + an even number are always an odd number. 2: Try the numbers: X=-4, Y=3 3(-1) = 1/3 which is not an integer.
3: Try the numbers: X=-2, Y=3 XY = (-2)3 = -8, which is not positive. Statements 2 and 3 are not necessarily true.

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QUESTION: 210

W is between (-1) and (0), which of the following is least?

W.
W2.
1/W.
(1/W)2.
0.

Answer(s): C

Explanation:

Try a number between –1 and 0, for example –1/2.
–1/2.
¼.
–2.
4.
0.
The smallest number is –2.

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QUESTION: 211

If R is between (-2) and (2), which of the following can be the greatest?

(1/R).
R2.
R3.
R4.
32.

Answer(s): A

Explanation:

If we can choose any number between (-2) and (2), choose a really small number, for example (1/100) plug it in answer (a), (1/1/100) = 100 □ none of the other answers can be larger.

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QUESTION: 212

If all values of X such as (0 < X < 1), which can be the least?

0.
X.
X2.
(X – 1)2.
X3.

Answer(s): E

Explanation:

Since X is a fraction between 0 and 1, the smallest answer will be that of the highest power, since all the answers are positive. Therefore E. is the smallest possible.
Pay attention to answer (d), it’s the same as (c); it’s a fraction between 0 and 1 squared.

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Free GMAT SECTION 2: QUANTITATIVE Exam Braindumps (page: 53)

QUESTION: 209

Explanation:

QUESTION: 210

Explanation:

QUESTION: 211

Explanation:

QUESTION: 212

Explanation: